Rheological properties estimation of mango pulp by inverse methods

Abstract

All liquid products derived from fruit are biphasic systems composed of solid particles dispersed in an aqueous medium. Some exhibit Newtonian behaviour, but most of them display pseudoplastic behaviour; sometimes it shows initial flow resistance and/or time-dependent flow. This article presents a solution of an inverse problem to estimate the rheological properties of mango pulp (Mangifera indica). The direct problem was solved using the Mizrahi-Berk equation with three parameters to determine the consistency index (K M ), the fluid behaviour index (n M ), and the square root of yield stress (K OM ). The objective was to determine the rheological properties of mango pulp by solving an inverse problem with parameter estimated using the Levenberg-Marquardt method. The inverse method provided accurate estimations of the rheological parameters, considering that the experimental and theoretical residual shear stress curves were quite small. ARTICLE HISTORY